Results 1 to 10 of about 1,413 (120)
On timelike hypersurfaces of the Minkowski 4-space with 1-proper second mean curvature vector [PDF]
Journal of Mahani Mathematical Research, 2023 The mean curvature vector field of a submanifold in the Euclidean $n$-space is said to be $proper$ if it is an eigenvector of the Laplace operator $\Delta$.
Firooz Pashaie +3 more
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Tikrit Journal of Pure Science, 2023 Six-dimensional Kählerian and nearly-Kählerian submanifolds of Cayley algebra are considered. Spectra of some classical tensors of such submanifolds of the octave algebra are computed.
Ali A. Shihab, Mihail Banaru
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Advances in Difference Equations, 2021 In the present paper, we find some characterization theorems. Under certain pinching conditions on the warping function satisfying some differential equation, we show that the base of warped product submanifolds of a Sasakian space form M ˜ 2 m + 1 ( ϵ )
Akram Ali +3 more
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Nontrivial Isometric Embeddings for Flat Spaces
Universe, 2021 Nontrivial isometric embeddings for flat metrics (i.e., those which are not just planes in the ambient space) can serve as useful tools in the description of gravity in the embedding gravity approach.
Sergey Paston, Taisiia Zaitseva
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Geodesic Vector Fields on a Riemannian Manifold
Mathematics, 2020 A unit geodesic vector field on a Riemannian manifold is a vector field whose integral curves are geodesics, or in other worlds have zero acceleration. A geodesic vector field on a Riemannian manifold is a smooth vector field with acceleration of each of
Sharief Deshmukh +2 more
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On differential equations classifying a warped product submanifold of cosymplectic space forms
Journal of Inequalities and Applications, 2021 In the present paper, we extend the study of (Ali et al. in J. Inequal. Appl. 2020:241, 2020) by using differential equations (García-Río et al. in J. Differ. Equ. 194(2):287–299, 2003; Pigola et al. in Math. Z. 268:777–790, 2011; Tanno in J. Math.
Akram Ali +3 more
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Dimensionality Reduction of SPD Data Based on Riemannian Manifold Tangent Spaces and Isometry
Entropy, 2021 Symmetric positive definite (SPD) data have become a hot topic in machine learning. Instead of a linear Euclidean space, SPD data generally lie on a nonlinear Riemannian manifold.
Wenxu Gao +3 more
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Advances in Mathematical Physics, 2021 The purpose of the present paper is to study the applications of Ricci curvature inequalities of warped product semi-invariant product submanifolds in terms of some differential equations.
Ibrahim Al-Dayel
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Geometric Inequalities for a Submanifold Equipped with Distributions
Mathematics, 2022 The article introduces invariants of a Riemannian manifold related to the mutual curvature of several pairwise orthogonal subspaces of a tangent bundle. In the case of one-dimensional subspaces, this curvature is equal to half the scalar curvature of the
Vladimir Rovenski
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A Remarkable Property of Concircular Vector Fields on a Riemannian Manifold
Mathematics, 2020 In this paper, we show that, given a non-trivial concircular vector field u on a Riemannian manifold ( M , g ) with potential function f, there exists a unique smooth function ρ on M that connects u to the gradient of potential function
Ibrahim Al-Dayel +2 more
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